A A devotee of Newton-Raphson used the method to solve the equa- tionx100 0 using the initial estimatex. Here xnis the current known x-value fxn represents the value of the function xn1represents the next x-value that you are trying to find. To know more about applications of Newton raphson Method please visit Newtons Method on Wikipedia.
Let x be the good estimate of r and lets assume that r equals xh.
Use the equation 1x137 the Newton Method and the defective calculator to nd 1137 correct to 8 decimal places. For many problems the Newton Raphson method converge faster than the two methods above. In numerical analysis Newtons method also known as the NewtonRaphson method named after Isaac Newton and Joseph Raphson is a root-finding algorithm which produces successively better approximations to the roots or zeroes of a real-valued functionThe most basic version starts with a single-variable function f defined for a real variable x the functions derivative f and an. Let us now consider the general solution where 11258fafafm1a0 with fma 0 where m 1.